Find the LCM of 789, 805, 758, 366, 379 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 789, 805, 758, 366, 379. So, keep reading to learn more.
Given numbers are 789,805,758,366,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,805,758,366,379 is 29367834510.
Find LCM of 789,805,758,366,379 with Prime Factorization
2 | 789, 805, 758, 366, 379 |
3 | 789, 805, 379, 183, 379 |
379 | 263, 805, 379, 61, 379 |
263, 805, 1, 61, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 379 x 263 x 805 x 1 x 61 x 1 = 29367834510
Therefore, the lowest common multiple of 789,805,758,366,379 is 29367834510.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
789 x 805 x 758 x 366 x 379 = 66782455675740
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
789 : 1, 3, 263, 789
805 : 1, 5, 7, 23, 35, 115, 161, 805
758 : 1, 2, 379, 758
366 : 1, 2, 3, 6, 61, 122, 183, 366
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,805,758,366,379, is 1.
Now, the common factors can be found like this.
789:3x 263
805:5x 7x 23
758:2x 379
366:2x 3x 61
379:379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 379 = 2274
Therefore, the value for common factors is 2274.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 66782455675740/(1x2274)
LCM = 66782455675740/2274
LCM = 29367834510
Thus, we can understand that the LCM of 789,805,758,366,379 is 29367834510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 789, 805, 758, 366, 379?
Answer: LCM of 789, 805, 758, 366, 379 is 29367834510.
2. How to calculate the LCM of 789, 805, 758, 366, 379?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 789, 805, 758, 366, 379.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.